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Finding the Third Proportional to 164,557,527 and 342,735,381

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Solution

The third proportional to 164,557,527 and 342,735,381 is: 713,838,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,557,527 : 342,735,381 = 342,735,381 : x
  2. Step 2: Convert to fraction form
    164,557,527/342,735,381 = 342,735,381/x
  3. Step 3: Cross multiply
    164,557,527x = 342,735,381 × 342,735,381
  4. Step 4: Simplify right side
    164,557,527x = 117,467,541,389,215,168
  5. Step 5: Solve for x
    x = 117,467,541,389,215,168/164,557,527
  6. Step 6: Final answer
    x = 713,838,762.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.